Goal Programming for Solving Fractional Programming Problem in Fuzzy Environment Article Swipe

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YOU? · · 2015 · Open Access · · DOI: https://doi.org/10.4236/am.2015.614208

This paper is comprised of the modeling and optimization of a multi objective linear programming problem in fuzzy environment in which some goals are fractional and some are linear. Here, we present a new approach for its solution by using α-cut of fuzzy numbers. In this proposed method, we first define membership function for goals by introducing non-deviational variables for each of objective functions with effective use of α-cut intervals to deal with uncertain parameters being represented by fuzzy numbers. In the optimization process the under deviational variables are minimized for finding a most satisfactory solution. The developed method has also been implemented on a problem for illustration and comparison.

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Mathematical optimization Fractional programming Linear-fractional programming Fuzzy logic Goal programming Linear programming Mathematics Fuzzy number Process (computing) Computer science Fuzzy set Nonlinear programming Artificial intelligence Nonlinear system Physics Operating system Quantum mechanics

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Type: article
Language: en
Landing Page: https://doi.org/10.4236/am.2015.614208
PDF: http://www.scirp.org/journal/PaperDownload.aspx?paperID=62503
OA Status: diamond
Cited By: 6
References: 38
Related Works: 10
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DOI: https://doi.org/10.4236/am.2015.614208

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Title: Goal Programming for Solving Fractional Programming Problem in Fuzzy Environment

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Type: article

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Language: en

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Publication year: 2015

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Publication date: 2015-01-01

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Authors: Anil Kumar Nishad, Shiva Raj Singh

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Landing page: https://doi.org/10.4236/am.2015.614208

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PDF URL: https://www.scirp.org/journal/PaperDownload.aspx?paperID=62503

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Concepts: Mathematical optimization, Fractional programming, Linear-fractional programming, Fuzzy logic, Goal programming, Linear programming, Mathematics, Fuzzy number, Process (computing), Computer science, Fuzzy set, Nonlinear programming, Artificial intelligence, Nonlinear system, Physics, Operating system, Quantum mechanics

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Cited by: 6

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Citations by year (recent): 2023: 1, 2022: 1, 2020: 1, 2018: 3

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References (count): 38

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